Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups

The problem of embedding an ample semigroup in an inverse semigroup as a (2, 1, 1)-type subalgebra is known to be undecidable. In this article, we investigate the problem for certain classes of ample semigroups. We also give examples of semigroups that are left (respectively, right) but not right (respectively, left) ample.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-08-03
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
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article

Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups

arXiv (Cornell University)
semigroups and automata theory
article

Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups

article en

Abstract

The problem of embedding an ample semigroup in an inverse semigroup as a (2, 1, 1)-type subalgebra is known to be undecidable. In this article, we investigate the problem for certain classes of ample semigroups. We also give examples of semigroups that are left (respectively, right) but not right (respectively, left) ample.

arXiv (Cornell University)
Reduced inequalities
Openalex Percentile: Top 48%
semigroups and automata theory
Open Access PDFOpenAlex
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Embedding ample semigroups as (2,1,1)-subalgebras of inverse semigroups · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS